#### Solution for 150 is what percent of 1250:

150:1250*100 =

(150*100):1250 =

15000:1250 = 12

Now we have: 150 is what percent of 1250 = 12

Question: 150 is what percent of 1250?

Percentage solution with steps:

Step 1: We make the assumption that 1250 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={1250}.

Step 4: In the same vein, {x\%}={150}.

Step 5: This gives us a pair of simple equations:

{100\%}={1250}(1).

{x\%}={150}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{1250}{150}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{150}{1250}

\Rightarrow{x} = {12\%}

Therefore, {150} is {12\%} of {1250}.

#### Solution for 1250 is what percent of 150:

1250:150*100 =

(1250*100):150 =

125000:150 = 833.33

Now we have: 1250 is what percent of 150 = 833.33

Question: 1250 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={150}.

Step 4: In the same vein, {x\%}={1250}.

Step 5: This gives us a pair of simple equations:

{100\%}={150}(1).

{x\%}={1250}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{150}{1250}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{1250}{150}

\Rightarrow{x} = {833.33\%}

Therefore, {1250} is {833.33\%} of {150}.

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